We look at the division of 312565 by 19 
We're looking to find how many times 19 goes into 312565.

On to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 19

On to step 2:
19 can be fit into 31 1 times, resulting in a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 19 from 31 leaves us with 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 19

Let's proceed to step 3:
The number 19 fits into 122 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 114 away from 122, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 19

Advancing to step 4:
If we divide 85 by 19, we get 4 and a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 164.0
Subtracting 76 from 85 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 19

Let's proceed to step 5:
19 goes into 96 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 1645.0
If we take 95 away from 96, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 19

Going ahead to step 6:
15 divided by 19 is 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 16450.0
Subtract 0 from 15 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
If we divide 150 by 19, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 16450.7
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
If we divide 170 by 19, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 16450.78
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
19 goes into 180 9 times with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 16450.789
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
19 goes into 90 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 16450.7894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 16450.78947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 16450.789473
If we subtract 57 from 70, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
The number 19 fits into 130 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 16450.7894736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 14:
The number 19 fits into 160 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 16450.78947368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 16450.78947368, and the remainder is 8e-09.